Finding the Fourth Proportional to 9,738.96, 13,437.81 and 5,758.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.96 : 13,437.81 = 5,758.62 : x
2. Step 2: Convert to fraction form
   9,738.96/13,437.81 = 5,758.62/x
3. Step 3: Cross multiply
   9,738.96x = 13,437.81 × 5,758.62
4. Step 4: Simplify right side
   9,738.96x = 77,383,241.42
5. Step 5: Solve for x
   x = 77,383,241.42/9,738.96
6. Step 6: Final answer
   x = 7,945.74